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http://dx.doi.org/10.4134/BKMS.2014.51.3.773

APPROXIMATION METHODS FOR A COMMON MINIMUM-NORM POINT OF A SOLUTION OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN BANACH SPACES  

Shahzad, N. (Department of Mathematics King Abdulaziz University)
Zegeye, H. (Department of Mathematics University of Botswana)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.3, 2014 , pp. 773-788 More about this Journal
Abstract
We introduce an iterative process which converges strongly to a common minimum-norm point of solutions of variational inequality problem for a monotone mapping and fixed points of a finite family of relatively nonexpansive mappings in Banach spaces. Our theorems improve most of the results that have been proved for this important class of nonlinear operators.
Keywords
monotone mappings; relatively nonexpansive mappings; strong convergence; variational inequality problems;
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